Xu, Sanzhang; Chen, Jianlong; Benítez López, Julio; Wang, Dingguo(Real Academia de Ciencias Exactas, Físicas y Naturales, 2019-07)
[EN] We give several conditions in order that the absorption law for one sided (b,c)-inverses in rings holds. Also, by using centralizers, we obtain the absorption law for the (b,c)-inverse and the reverse order law of the ...
[EN] Let R be a unital ring with involution. In Section 2, for given two core invertible elements a, b. R, we investigate mainly the absorption law for the core inverse in virtue of the equality of the projections aa and ...
Hongwei, J.; Benítez López, Julio(ILAS–the International Linear Algebra Society, 2015-12)
In this paper, it is given equivalent conditions for the absorption laws in terms of the Moore-Penrose, group, core inverse, core inverse dual, {1}, {1,2}, {1,3}, and {1,4} inverses in rings. The results given here extend ...